Quantum Soundness of a Total-Degree Line-versus-Point Test

arXiv:2609.27129 · quant-ph, cs.CC · Submitted 2026-09-22 · Read on arXiv

quant-ph, cs.CC

Submitted: 2026-09-22

Updated: 2026-09-22

Terminology

• Consistency — 16× in this paper · explained in 3 episodes
• Self-consistency — 5× in this paper · explained in 2 episodes
• Pruning — 2× in this paper · explained in 4 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Verifier — 1× in this paper · explained in 2 episodes

Sources

• Quantum soundness of the classical low individual degree test

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity